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:trac: → :issue: throughout ell_curve_isogeny.py
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src/sage/schemes/elliptic_curves/ell_curve_isogeny.py

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Original file line numberDiff line numberDiff line change
@@ -847,7 +847,7 @@ class EllipticCurveIsogeny(EllipticCurveHom):
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TESTS:
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Domain and codomain tests (see :trac:`12880`)::
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Domain and codomain tests (see :issue:`12880`)::
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sage: E = EllipticCurve(QQ, [0,0,0,1,0])
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sage: phi = EllipticCurveIsogeny(E, E(0,0))
@@ -863,7 +863,7 @@ class EllipticCurveIsogeny(EllipticCurveHom):
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sage: phi.codomain()
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Elliptic Curve defined by y^2 + x*y = x^3 + 24*x + 6 over Finite Field of size 31
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Composition tests (see :trac:`16245`, cf. :trac:`34410`)::
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Composition tests (see :issue:`16245`, cf. :issue:`34410`)::
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sage: E = EllipticCurve(j=GF(7)(0))
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sage: phi = E.isogeny([E(0), E((0,1)), E((0,-1))]); phi
@@ -875,7 +875,7 @@ class EllipticCurveIsogeny(EllipticCurveHom):
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From: Elliptic Curve defined by y^2 = x^3 + 1 over Finite Field of size 7
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To: Elliptic Curve defined by y^2 = x^3 + 1 over Finite Field of size 7
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Examples over relative number fields used not to work (see :trac:`16779`)::
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Examples over relative number fields used not to work (see :issue:`16779`)::
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sage: # long time, needs sage.rings.number_field
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sage: pol26 = hilbert_class_polynomial(-4*26)
@@ -891,7 +891,7 @@ class EllipticCurveIsogeny(EllipticCurveHom):
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sage: iso3 = EL.isogenies_prime_degree(3); len(iso3)
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2
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Examples over function fields used not to work (see :trac:`11327`)::
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Examples over function fields used not to work (see :issue:`11327`)::
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sage: F.<t> = FunctionField(QQ)
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sage: E = EllipticCurve([0,0,0,-t^2,0])
@@ -1189,7 +1189,7 @@ def _call_(self, P):
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TESTS:
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Tests for :trac:`10888`::
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Tests for :issue:`10888`::
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sage: # needs sage.rings.number_field
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sage: x = polygen(ZZ, 'x')
@@ -1204,7 +1204,7 @@ def _call_(self, P):
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sage: phihat(Q)
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(-1/48 : 127/576*th : 1)
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Call a composed isogeny (added for :trac:`16238`)::
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Call a composed isogeny (added for :issue:`16238`)::
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sage: E = EllipticCurve(j=GF(7)(0))
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sage: phi = E.isogeny([E(0), E((0,1)), E((0,-1))])
@@ -1214,7 +1214,7 @@ def _call_(self, P):
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sage: phi2(E.points()[0])
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(0 : 1 : 0)
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Coercion works fine with :meth:`_call_` (added for :trac:`16238`)::
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Coercion works fine with :meth:`_call_` (added for :issue:`16238`)::
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sage: # needs sage.rings.number_field
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sage: K.<th> = NumberField(x^2 + 3)
@@ -1243,7 +1243,7 @@ def _call_(self, P):
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sage: phi(Q)._order
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27
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Test for :trac:`35983`::
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Test for :issue:`35983`::
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sage: E = EllipticCurve([1,0,0,-1,0])
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sage: P = E([1,0])
@@ -2106,7 +2106,7 @@ def __compute_via_velu(self, xP, yP):
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TESTS:
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Check for :trac:`33214`::
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Check for :issue:`33214`::
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sage: # needs sage.rings.finite_rings
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sage: z2 = GF(71^2).gen()
@@ -2120,7 +2120,7 @@ def __compute_via_velu(self, xP, yP):
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(33 : 61*z2 + 10 : 1)
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The rational maps are also computed via this code path; check
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that they are plausible (this failed prior to :trac:`33214`)::
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that they are plausible (this failed prior to :issue:`33214`)::
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sage: # needs sage.rings.finite_rings
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sage: fx,fy = phi.rational_maps() # indirect doctest
@@ -2601,7 +2601,7 @@ def __compute_omega_general(self, E, psi, psi_pr, phi, phi_pr):
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sage: phi._EllipticCurveIsogeny__compute_omega_general(E, psi, psi_pr, fi, fi_pr)
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(x^3 + (alpha^2 + 1)*x^2 + (alpha^2 + 1)*x + alpha)*y + (alpha^2 + alpha + 1)*x^2 + (alpha^2 + alpha)*x + alpha
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A bug fixed in :trac:`7907`::
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A bug fixed in :issue:`7907`::
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sage: # needs sage.rings.finite_rings
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sage: F = GF(128,'a')
@@ -3151,7 +3151,7 @@ def dual(self):
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TESTS:
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Test for :trac:`23928`::
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Test for :issue:`23928`::
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sage: E = EllipticCurve(j=GF(431**2)(4)) # needs sage.rings.finite_rings
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sage: phi = E.isogeny(E.lift_x(0)) # needs sage.rings.finite_rings
@@ -3160,7 +3160,7 @@ def dual(self):
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from Elliptic Curve defined by y^2 = x^3 + 427*x over Finite Field in z2 of size 431^2
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to Elliptic Curve defined by y^2 = x^3 + x over Finite Field in z2 of size 431^2
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Test (for :trac:`7096`)::
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Test (for :issue:`7096`)::
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sage: E = EllipticCurve('11a1')
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sage: phi = E.isogeny(E(5,5))
@@ -3186,7 +3186,7 @@ def dual(self):
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from Elliptic Curve defined by y^2 + x*y = x^3 + 84*x + 34 over Finite Field of size 103
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to Elliptic Curve defined by y^2 + x*y = x^3 + x + 102 over Finite Field of size 103
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Check that :trac:`17293` is fixed::
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Check that :issue:`17293` is fixed::
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sage: # needs sage.rings.number_field
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sage: k.<s> = QuadraticField(2)
@@ -3198,7 +3198,7 @@ def dual(self):
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sage: -phi.dual() == (-phi).dual()
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True
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Check that :trac:`37168` is fixed::
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Check that :issue:`37168` is fixed::
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sage: R.<x> = GF(23)[]
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sage: F.<a> = FiniteField(23^2, modulus=x^2-x+1)

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